45671654286720 has 3072 divisors, whose sum is σ = 212306814720000. Its totient is φ = 9263252275200.

The previous prime is 45671654286701. The next prime is 45671654286761. The reversal of 45671654286720 is 2768245617654.

45671654286720 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 1 + 6 + 542 + 8 + 67 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30838388380 + ... + 30838389860.

It is an arithmetic number, because the mean of its divisors is an integer number (69110291250).

Almost surely, 2^{45671654286720} is an apocalyptic number.

45671654286720 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 45671654286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106153407360000).

45671654286720 is an abundant number, since it is smaller than the sum of its proper divisors (166635160433280).

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

45671654286720 is a wasteful number, since it uses less digits than its factorization.

45671654286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 45671654286720 in words is "forty-five trillion, six hundred seventy-one billion, six hundred fifty-four million, two hundred eighty-six thousand, seven hundred twenty".