45711993600 has 2592 divisors, whose sum is σ = 232490119680. Its totient is φ = 8599633920.

The previous prime is 45711993599. The next prime is 45711993611. The reversal of 45711993600 is 639911754.

45711993600 is a `hidden beast` number, since 4 + 571 + 19 + 9 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2405894391 + ... + 2405894409.

Almost surely, 2^45711993600 is an apocalyptic number.

45711993600 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 45711993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116245059840).

45711993600 is an abundant number, since it is smaller than the sum of its proper divisors (186778126080).

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

45711993600 is a wasteful number, since it uses less digits than its factorization.

45711993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 45711993600 in words is "forty-five billion, seven hundred eleven million, nine hundred ninety-three thousand, six hundred".