45846939600 has 2400 divisors, whose sum is σ = 231475470336. Its totient is φ = 8393932800.

The previous prime is 45846939563. The next prime is 45846939601. The reversal of 45846939600 is 693964854.

45846939600 is a `hidden beast` number, since 458 + 46 + 93 + 9 + 60 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45846939601) 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 479 ways as a sum of consecutive naturals, for example, 975466777 + ... + 975466823.

Almost surely, 2^45846939600 is an apocalyptic number.

45846939600 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 45846939600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115737735168).

45846939600 is an abundant number, since it is smaller than the sum of its proper divisors (185628530736).

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

45846939600 is a wasteful number, since it uses less digits than its factorization.

45846939600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 45846939600 in words is "forty-five billion, eight hundred forty-six million, nine hundred thirty-nine thousand, six hundred".