48645486489600 has 7488 divisors, whose sum is σ = 255215225180160. Its totient is φ = 9029615616000.

The previous prime is 48645486489599. The next prime is 48645486489601. The reversal of 48645486489600 is 698468454684.

48645486489600 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 5 + 4 + 8 + 6 + 4 + 8 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (48645486489599) and next prime (48645486489601).

It is a tau number, because it is divible by the number of its divisors (7488).

It is a super-2 number, since 2×48645486489600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48645486489601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1569209241585 + ... + 1569209241615.

Almost surely, 2^{48645486489600} is an apocalyptic number.

48645486489600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48645486489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127607612590080).

48645486489600 is an abundant number, since it is smaller than the sum of its proper divisors (206569738690560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48645486489600 is a wasteful number, since it uses less digits than its factorization.

48645486489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1274019840, while the sum is 72.

The spelling of 48645486489600 in words is "forty-eight trillion, six hundred forty-five billion, four hundred eighty-six million, four hundred eighty-nine thousand, six hundred".