22448911629456 has 720 divisors, whose sum is σ = 70725182441472. Its totient is φ = 6639786316800.

The previous prime is 22448911629427. The next prime is 22448911629461. The reversal of 22448911629456 is 65492611984422.

22448911629456 is a `hidden beast` number, since 2 + 2 + 4 + 48 + 9 + 116 + 29 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22448911629393 and 22448911629402.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39873732631 + ... + 39873733193.

Almost surely, 2^{22448911629456} is an apocalyptic number.

22448911629456 is a gapful number since it is divisible by the number (26) 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 22448911629456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35362591220736).

22448911629456 is an abundant number, since it is smaller than the sum of its proper divisors (48276270812016).

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

22448911629456 is a wasteful number, since it uses less digits than its factorization.

22448911629456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1190 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 22448911629456 in words is "twenty-two trillion, four hundred forty-eight billion, nine hundred eleven million, six hundred twenty-nine thousand, four hundred fifty-six".