272233978748928 has 1008 divisors, whose sum is σ = 951874766466624. Its totient is φ = 77519250063360.

The previous prime is 272233978748911. The next prime is 272233978748983. The reversal of 272233978748928 is 829847879332272.

272233978748928 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 3 + 39 + 7 + 87 + 489 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×272233978748928² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29945433663 + ... + 29945442753.

It is an arithmetic number, because the mean of its divisors is an integer number (944320204828).

Almost surely, 2^{272233978748928} is an apocalyptic number.

272233978748928 is a gapful number since it is divisible by the number (28) 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 272233978748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475937383233312).

272233978748928 is an abundant number, since it is smaller than the sum of its proper divisors (679640787717696).

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

272233978748928 is an frugal number, since it uses more digits than its factorization.

272233978748928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9453 (or 9410 counting only the distinct ones).

The product of its digits is 8193540096, while the sum is 81.

The spelling of 272233978748928 in words is "two hundred seventy-two trillion, two hundred thirty-three billion, nine hundred seventy-eight million, seven hundred forty-eight thousand, nine hundred twenty-eight".