45606910970880 has 1584 divisors, whose sum is σ = 191915262040320. Its totient is φ = 9973451980800.

The previous prime is 45606910970857. The next prime is 45606910970981. The reversal of 45606910970880 is 8807901960654.

45606910970880 is a `hidden beast` number, since 4 + 5 + 606 + 9 + 10 + 9 + 7 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6229597620 + ... + 6229604940.

Almost surely, 2^{45606910970880} is an apocalyptic number.

45606910970880 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 45606910970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95957631020160).

45606910970880 is an abundant number, since it is smaller than the sum of its proper divisors (146308351069440).

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

45606910970880 is a wasteful number, since it uses less digits than its factorization.

45606910970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7486 (or 7458 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 45606910970880 in words is "forty-five trillion, six hundred six billion, nine hundred ten million, nine hundred seventy thousand, eight hundred eighty".