45297190656000 has 2688 divisors, whose sum is σ = 180780193077120. Its totient is φ = 11298963456000.

The previous prime is 45297190655999. The next prime is 45297190656007. The reversal of 45297190656000 is 65609179254.

45297190656000 is a `hidden beast` number, since 4 + 5 + 2 + 9 + 71 + 9 + 0 + 6 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45297190656007) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 261833471914 + ... + 261833472086.

It is an arithmetic number, because the mean of its divisors is an integer number (67254536115).

Almost surely, 2^{45297190656000} is an apocalyptic number.

45297190656000 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 45297190656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90390096538560).

45297190656000 is an abundant number, since it is smaller than the sum of its proper divisors (135483002421120).

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

45297190656000 is an equidigital number, since it uses as much as digits as its factorization.

45297190656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 45297190656000 in words is "forty-five trillion, two hundred ninety-seven billion, one hundred ninety million, six hundred fifty-six thousand".