21772336106456 has 32 divisors (see below), whose sum is σ = 44085831703200. Its totient is φ = 10020779489280.

The previous prime is 21772336106431. The next prime is 21772336106497. The reversal of 21772336106456 is 65460163327712.

It is a super-2 number, since 2×21772336106456² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21772336106398 and 21772336106407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291535625 + ... + 291610296.

It is an arithmetic number, because the mean of its divisors is an integer number (1377682240725).

Almost surely, 2^{21772336106456} is an apocalyptic number.

21772336106456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21772336106456 is an abundant number, since it is smaller than the sum of its proper divisors (22313495596744).

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

21772336106456 is a wasteful number, since it uses less digits than its factorization.

21772336106456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583146299 (or 583146295 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 53.

The spelling of 21772336106456 in words is "twenty-one trillion, seven hundred seventy-two billion, three hundred thirty-six million, one hundred six thousand, four hundred fifty-six".