45656378880 has 320 divisors, whose sum is σ = 168053529600. Its totient is φ = 10357899264.

The previous prime is 45656378861. The next prime is 45656378917. The reversal of 45656378880 is 8887365654.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×45656378880² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 7362021 + ... + 7368219.

It is an arithmetic number, because the mean of its divisors is an integer number (525167280).

Almost surely, 2^45656378880 is an apocalyptic number.

45656378880 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 45656378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84026764800).

45656378880 is an abundant number, since it is smaller than the sum of its proper divisors (122397150720).

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

45656378880 is a wasteful number, since it uses less digits than its factorization.

45656378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 45656378880 in words is "forty-five billion, six hundred fifty-six million, three hundred seventy-eight thousand, eight hundred eighty".