632154321216 has 784 divisors, whose sum is σ = 2176778577600. Its totient is φ = 180054835200.

The previous prime is 632154321203. The next prime is 632154321221. The reversal of 632154321216 is 612123451236.

632154321216 is a `hidden beast` number, since 6 + 3 + 2 + 1 + 5 + 432 + 1 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2350015930 + ... + 2350016198.

Almost surely, 2^632154321216 is an apocalyptic number.

632154321216 is a gapful number since it is divisible by the number (66) 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 632154321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088389288800).

632154321216 is an abundant number, since it is smaller than the sum of its proper divisors (1544624256384).

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

632154321216 is a wasteful number, since it uses less digits than its factorization.

632154321216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 545 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 632154321216 in words is "six hundred thirty-two billion, one hundred fifty-four million, three hundred twenty-one thousand, two hundred sixteen".