45942353251200 has 864 divisors, whose sum is σ = 193591201312080. Its totient is φ = 10162320998400.

The previous prime is 45942353251177. The next prime is 45942353251297. The reversal of 45942353251200 is 215235324954.

It is a happy number.

45942353251200 is a `hidden beast` number, since 4 + 5 + 9 + 42 + 3 + 532 + 51 + 20 + 0 = 666.

It is a super-2 number, since 2×45942353251200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 193619032 + ... + 193856168.

Almost surely, 2^{45942353251200} is an apocalyptic number.

45942353251200 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 45942353251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96795600656040).

45942353251200 is an abundant number, since it is smaller than the sum of its proper divisors (147648848060880).

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

45942353251200 is a wasteful number, since it uses less digits than its factorization.

45942353251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237236 (or 237185 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 45942353251200 in words is "forty-five trillion, nine hundred forty-two billion, three hundred fifty-three million, two hundred fifty-one thousand, two hundred".