1612629463104 has 448 divisors, whose sum is σ = 5240849218560. Its totient is φ = 486213235200.

The previous prime is 1612629463097. The next prime is 1612629463127. The reversal of 1612629463104 is 4013649262161.

1612629463104 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 6 + 2 + 9 + 4 + 631 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1612629463104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 485291587 + ... + 485294909.

Almost surely, 2^{1612629463104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1612629463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620424609280).

1612629463104 is an abundant number, since it is smaller than the sum of its proper divisors (3628219755456).

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

1612629463104 is a wasteful number, since it uses less digits than its factorization.

1612629463104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1612629463104 in words is "one trillion, six hundred twelve billion, six hundred twenty-nine million, four hundred sixty-three thousand, one hundred four".