48453633518400 has 588 divisors, whose sum is σ = 195008297982624. Its totient is φ = 11746332288000.

The previous prime is 48453633518351. The next prime is 48453633518471. The reversal of 48453633518400 is 481533635484.

48453633518400 is a `hidden beast` number, since 4 + 8 + 4 + 53 + 6 + 33 + 518 + 40 + 0 = 666.

It is a super-2 number, since 2×48453633518400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 10942165 + ... + 14718635.

Almost surely, 2^{48453633518400} is an apocalyptic number.

48453633518400 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 48453633518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97504148991312).

48453633518400 is an abundant number, since it is smaller than the sum of its proper divisors (146554664464224).

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

48453633518400 is a wasteful number, since it uses less digits than its factorization.

48453633518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776522 (or 3776492 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 48453633518400 in words is "forty-eight trillion, four hundred fifty-three billion, six hundred thirty-three million, five hundred eighteen thousand, four hundred".