991148564960 has 48 divisors (see below), whose sum is σ = 2385769419936. Its totient is φ = 388979056128.

The previous prime is 991148564951. The next prime is 991148564969. The reversal of 991148564960 is 69465841199.

It is an interprime number because it is at equal distance from previous prime (991148564951) and next prime (991148564969).

It is a super-3 number, since 3×991148564960³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 991148564893 and 991148564902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (991148564969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58431884 + ... + 58448843.

It is an arithmetic number, because the mean of its divisors is an integer number (49703529582).

Almost surely, 2^991148564960 is an apocalyptic number.

It is an amenable number.

991148564960 is an abundant number, since it is smaller than the sum of its proper divisors (1394620854976).

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

991148564960 is a wasteful number, since it uses less digits than its factorization.

991148564960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116880795 (or 116880787 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 62.

The spelling of 991148564960 in words is "nine hundred ninety-one billion, one hundred forty-eight million, five hundred sixty-four thousand, nine hundred sixty".