45723197520 has 2400 divisors, whose sum is σ = 232758852480. Its totient is φ = 8151736320.

The previous prime is 45723197497. The next prime is 45723197543. The reversal of 45723197520 is 2579132754.

It is a happy number.

45723197520 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 31 + 97 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (45723197497) and next prime (45723197543).

It is a super-2 number, since 2×45723197520² (a number of 22 digits) contains 22 as substring.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 862701814 + ... + 862701866.

Almost surely, 2^45723197520 is an apocalyptic number.

45723197520 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 45723197520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116379426240).

45723197520 is an abundant number, since it is smaller than the sum of its proper divisors (187035654960).

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

45723197520 is a wasteful number, since it uses less digits than its factorization.

45723197520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 45723197520 in words is "forty-five billion, seven hundred twenty-three million, one hundred ninety-seven thousand, five hundred twenty".