45777316200 has 192 divisors, whose sum is σ = 176926533120. Its totient is φ = 9512160000.

The previous prime is 45777316181. The next prime is 45777316201. The reversal of 45777316200 is 261377754.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45777316201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449226 + ... + 541625.

It is an arithmetic number, because the mean of its divisors is an integer number (921492360).

Almost surely, 2^45777316200 is an apocalyptic number.

45777316200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45777316200 is an abundant number, since it is smaller than the sum of its proper divisors (131149216920).

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

45777316200 is a wasteful number, since it uses less digits than its factorization.

45777316200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990888 (or 990879 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 45777316200 in words is "forty-five billion, seven hundred seventy-seven million, three hundred sixteen thousand, two hundred".