45892828800 has 1152 divisors, whose sum is σ = 208312560000. Its totient is φ = 9661317120.

The previous prime is 45892828783. The next prime is 45892828853. The reversal of 45892828800 is 882829854.

It is a happy number.

45892828800 is a `hidden beast` number, since 458 + 92 + 8 + 28 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×45892828800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102210976 + ... + 102211424.

It is an arithmetic number, because the mean of its divisors is an integer number (180826875).

Almost surely, 2^45892828800 is an apocalyptic number.

45892828800 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 45892828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104156280000).

45892828800 is an abundant number, since it is smaller than the sum of its proper divisors (162419731200).

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

45892828800 is a wasteful number, since it uses less digits than its factorization.

45892828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 45892828800 in words is "forty-five billion, eight hundred ninety-two million, eight hundred twenty-eight thousand, eight hundred".