45162777600 has 396 divisors, whose sum is σ = 162645367560. Its totient is φ = 11973427200.

The previous prime is 45162777599. The next prime is 45162777617. The reversal of 45162777600 is 677726154.

45162777600 is a `hidden beast` number, since 4 + 5 + 16 + 27 + 7 + 7 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48613936 + ... + 48614864.

Almost surely, 2^45162777600 is an apocalyptic number.

45162777600 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 45162777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81322683780).

45162777600 is an abundant number, since it is smaller than the sum of its proper divisors (117482589960).

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

45162777600 is a wasteful number, since it uses less digits than its factorization.

45162777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 45162777600 in words is "forty-five billion, one hundred sixty-two million, seven hundred seventy-seven thousand, six hundred".