221151694944 has 96 divisors (see below), whose sum is σ = 615925731456. Its totient is φ = 69239367680.

The previous prime is 221151694919. The next prime is 221151694991. The reversal of 221151694944 is 449496151122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 221151694893 and 221151694902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663319 + ... + 939305.

It is an arithmetic number, because the mean of its divisors is an integer number (6415893036).

Almost surely, 2^221151694944 is an apocalyptic number.

221151694944 is a gapful number since it is divisible by the number (24) 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 221151694944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307962865728).

221151694944 is an abundant number, since it is smaller than the sum of its proper divisors (394774036512).

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

221151694944 is a wasteful number, since it uses less digits than its factorization.

221151694944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276508 (or 276500 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The spelling of 221151694944 in words is "two hundred twenty-one billion, one hundred fifty-one million, six hundred ninety-four thousand, nine hundred forty-four".