956146049760 has 1536 divisors, whose sum is σ = 3818774937600. Its totient is φ = 198868992000.

The previous prime is 956146049759. The next prime is 956146049783. The reversal of 956146049760 is 67940641659.

It is a self number, because there is not a number n which added to its sum of digits gives 956146049760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23320635340 + ... + 23320635380.

It is an arithmetic number, because the mean of its divisors is an integer number (2486181600).

Almost surely, 2^956146049760 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 956146049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909387468800).

956146049760 is an abundant number, since it is smaller than the sum of its proper divisors (2862628887840).

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

956146049760 is a wasteful number, since it uses less digits than its factorization.

956146049760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 956146049760 in words is "nine hundred fifty-six billion, one hundred forty-six million, forty-nine thousand, seven hundred sixty".