956497282272 has 288 divisors, whose sum is σ = 3293067960000. Its totient is φ = 257084964864.

The previous prime is 956497282267. The next prime is 956497282283. The reversal of 956497282272 is 272282794659.

956497282272 is a `hidden beast` number, since 9 + 56 + 497 + 2 + 8 + 22 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87353854 + ... + 87364802.

It is an arithmetic number, because the mean of its divisors is an integer number (11434263750).

Almost surely, 2^956497282272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956497282272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646533980000).

956497282272 is an abundant number, since it is smaller than the sum of its proper divisors (2336570677728).

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

956497282272 is a wasteful number, since it uses less digits than its factorization.

956497282272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13538 (or 13527 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

It can be divided in two parts, 956497 and 282272, that added together give a square (1238769 = 1113²).

The spelling of 956497282272 in words is "nine hundred fifty-six billion, four hundred ninety-seven million, two hundred eighty-two thousand, two hundred seventy-two".