45516729600 has 864 divisors, whose sum is σ = 178838553600. Its totient is φ = 11302502400.

The previous prime is 45516729563. The next prime is 45516729613. The reversal of 45516729600 is 692761554.

45516729600 is a `hidden beast` number, since 4 + 5 + 5 + 16 + 7 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155347054 + ... + 155347346.

Almost surely, 2^45516729600 is an apocalyptic number.

45516729600 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 45516729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89419276800).

45516729600 is an abundant number, since it is smaller than the sum of its proper divisors (133321824000).

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

45516729600 is a wasteful number, since it uses less digits than its factorization.

45516729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 45516729600 in words is "forty-five billion, five hundred sixteen million, seven hundred twenty-nine thousand, six hundred".