45941434560 has 1344 divisors, whose sum is σ = 202672005120. Its totient is φ = 9316270080.

The previous prime is 45941434493. The next prime is 45941434601. The reversal of 45941434560 is 6543414954.

45941434560 is a `hidden beast` number, since 4 + 5 + 9 + 41 + 43 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×45941434560² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 629334684 + ... + 629334756.

Almost surely, 2^45941434560 is an apocalyptic number.

45941434560 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 45941434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101336002560).

45941434560 is an abundant number, since it is smaller than the sum of its proper divisors (156730570560).

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

45941434560 is a wasteful number, since it uses less digits than its factorization.

45941434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 45941434560 in words is "forty-five billion, nine hundred forty-one million, four hundred thirty-four thousand, five hundred sixty".