273622101921 has 225 divisors, whose sum is σ = 524663294001. Its totient is φ = 141685978896.

The previous prime is 273622101919. The next prime is 273622102027. The reversal of 273622101921 is 129101226372.

The square root of 273622101921 is 523089.

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

273622101921 is a `hidden beast` number, since 2 + 7 + 3 + 622 + 1 + 0 + 1 + 9 + 21 = 666.

It is not a de Polignac number, because 273622101921 - 2¹ = 273622101919 is a prime.

It is a super-2 number, since 2×273622101921² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (273622101901) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 11896613116 + ... + 11896613138.

Almost surely, 2^273622101921 is an apocalyptic number.

273622101921 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

273622101921 is the 523089-th square number.

273622101921 is the 261545-th centered octagonal number.

It is an amenable number.

273622101921 is a deficient number, since it is larger than the sum of its proper divisors (251041192080).

273622101921 is an frugal number, since it uses more digits than its factorization.

273622101921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 273622101921 by its sum of digits (36), we get a square (9850395669156 = 3138534²).

The spelling of 273622101921 in words is "two hundred seventy-three billion, six hundred twenty-two million, one hundred one thousand, nine hundred twenty-one".