21850456761 has 27 divisors (see below), whose sum is σ = 36719929701. Its totient is φ = 12484201464.

The previous prime is 21850456759. The next prime is 21850456763. The reversal of 21850456761 is 16765405812.

The square root of 21850456761 is 147819.

It is a perfect power (a square), and thus also a powerful number.

21850456761 is a `hidden beast` number, since 2 + 1 + 85 + 0 + 4 + 567 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (21850456759) and next prime (21850456763).

It is not a de Polignac number, because 21850456761 - 2¹ = 21850456759 is a prime.

It is a super-2 number, since 2×21850456761² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21850456763) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3100680 + ... + 3107718.

Almost surely, 2^21850456761 is an apocalyptic number.

21850456761 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21850456761 is the 147819-th square number.

21850456761 is the 73910-th centered octagonal number.

It is an amenable number.

21850456761 is a deficient number, since it is larger than the sum of its proper divisors (14869472940).

21850456761 is an frugal number, since it uses more digits than its factorization.

21850456761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14098 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 21850456761 in words is "twenty-one billion, eight hundred fifty million, four hundred fifty-six thousand, seven hundred sixty-one".