21214667963632 has 320 divisors, whose sum is σ = 52297362754560. Its totient is φ = 8193694924800.

The previous prime is 21214667963627. The next prime is 21214667963779. The reversal of 21214667963632 is 23636976641212.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

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, 468488832 + ... + 468534112.

It is an arithmetic number, because the mean of its divisors is an integer number (163429258608).

Almost surely, 2^{21214667963632} is an apocalyptic number.

21214667963632 is a gapful number since it is divisible by the number (22) 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 21214667963632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26148681377280).

21214667963632 is an abundant number, since it is smaller than the sum of its proper divisors (31082694790928).

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

21214667963632 is a wasteful number, since it uses less digits than its factorization.

21214667963632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45672 (or 45666 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 58.

The spelling of 21214667963632 in words is "twenty-one trillion, two hundred fourteen billion, six hundred sixty-seven million, nine hundred sixty-three thousand, six hundred thirty-two".