1633630314264 has 512 divisors, whose sum is σ = 4960482508800. Its totient is φ = 443445995520.

The previous prime is 1633630314233. The next prime is 1633630314293. The reversal of 1633630314264 is 4624130363361.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 856648399 + ... + 856650305.

It is an arithmetic number, because the mean of its divisors is an integer number (9688442400).

Almost surely, 2^{1633630314264} 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 1633630314264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480241254400).

1633630314264 is an abundant number, since it is smaller than the sum of its proper divisors (3326852194536).

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

1633630314264 is a wasteful number, since it uses less digits than its factorization.

1633630314264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 1633630314264 in words is "one trillion, six hundred thirty-three billion, six hundred thirty million, three hundred fourteen thousand, two hundred sixty-four".