45129647607912 has 288 divisors, whose sum is σ = 142657393507200. Its totient is φ = 12851082978048.

The previous prime is 45129647607901. The next prime is 45129647607959. The reversal of 45129647607912 is 21970674692154.

45129647607912 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 9 + 6 + 4 + 7 + 607 + 9 + 12 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45129647607912.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1497666798 + ... + 1497696930.

It is an arithmetic number, because the mean of its divisors is an integer number (495338171900).

Almost surely, 2^{45129647607912} is an apocalyptic number.

45129647607912 is a gapful number since it is divisible by the number (42) 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 45129647607912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71328696753600).

45129647607912 is an abundant number, since it is smaller than the sum of its proper divisors (97527745899288).

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

45129647607912 is a wasteful number, since it uses less digits than its factorization.

45129647607912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31565 (or 31551 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 45129647607912 in words is "forty-five trillion, one hundred twenty-nine billion, six hundred forty-seven million, six hundred seven thousand, nine hundred twelve".