956212001460 has 72 divisors (see below), whose sum is σ = 2909776713480. Its totient is φ = 254175187968.

The previous prime is 956212001419. The next prime is 956212001483. The reversal of 956212001460 is 64100212659.

956212001460 is a `hidden beast` number, since 9 + 5 + 621 + 20 + 0 + 1 + 4 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20933459856 + 935278541604 = 144684^2 + 967098^2 .

It is a super-2 number, since 2×956212001460² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8429745 + ... + 8542424.

It is an arithmetic number, because the mean of its divisors is an integer number (40413565465).

Almost surely, 2^956212001460 is an apocalyptic number.

956212001460 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

956212001460 is an abundant number, since it is smaller than the sum of its proper divisors (1953564712020).

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

956212001460 is a wasteful number, since it uses less digits than its factorization.

956212001460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16972497 (or 16972492 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 956212001460 in words is "nine hundred fifty-six billion, two hundred twelve million, one thousand, four hundred sixty".