45965724371520 has 224 divisors, whose sum is σ = 146421731414016. Its totient is φ = 12217185024000.

The previous prime is 45965724371443. The next prime is 45965724371537. The reversal of 45965724371520 is 2517342756954.

It is a super-2 number, since 2×45965724371520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1311377995 + ... + 1311413045.

Almost surely, 2^{45965724371520} is an apocalyptic number.

45965724371520 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 45965724371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73210865707008).

45965724371520 is an abundant number, since it is smaller than the sum of its proper divisors (100456007042496).

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

45965724371520 is a wasteful number, since it uses less digits than its factorization.

45965724371520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39529 (or 39519 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 60.

The spelling of 45965724371520 in words is "forty-five trillion, nine hundred sixty-five billion, seven hundred twenty-four million, three hundred seventy-one thousand, five hundred twenty".