45786772137600 has 2304 divisors, whose sum is σ = 185396083891200. Its totient is φ = 10683187200000.

The previous prime is 45786772137599. The next prime is 45786772137677. The reversal of 45786772137600 is 673127768754.

45786772137600 is a `hidden beast` number, since 4 + 5 + 7 + 8 + 6 + 7 + 7 + 2 + 13 + 7 + 600 = 666.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 162942249460 + ... + 162942249740.

It is an arithmetic number, because the mean of its divisors is an integer number (80467050300).

Almost surely, 2^{45786772137600} is an apocalyptic number.

45786772137600 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 45786772137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92698041945600).

45786772137600 is an abundant number, since it is smaller than the sum of its proper divisors (139609311753600).

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

45786772137600 is a wasteful number, since it uses less digits than its factorization.

45786772137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 45786772137600 in words is "forty-five trillion, seven hundred eighty-six billion, seven hundred seventy-two million, one hundred thirty-seven thousand, six hundred".