964232989429248 has 480 divisors, whose sum is σ = 3598017579636480. Its totient is φ = 250450124636160.

The previous prime is 964232989429217. The next prime is 964232989429249. The reversal of 964232989429248 is 842924989232469.

964232989429248 is a `hidden beast` number, since 9 + 6 + 4 + 2 + 329 + 8 + 9 + 42 + 9 + 248 = 666.

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 not an unprimeable number, because it can be changed into a prime (964232989429249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40745113 + ... + 59905176.

It is an arithmetic number, because the mean of its divisors is an integer number (7495869957576).

Almost surely, 2^{964232989429248} is an apocalyptic number.

It is an amenable number.

964232989429248 is an abundant number, since it is smaller than the sum of its proper divisors (2633784590207232).

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

964232989429248 is a wasteful number, since it uses less digits than its factorization.

964232989429248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100650340 (or 100650312 counting only the distinct ones).

The product of its digits is 7739670528, while the sum is 81.

The spelling of 964232989429248 in words is "nine hundred sixty-four trillion, two hundred thirty-two billion, nine hundred eighty-nine million, four hundred twenty-nine thousand, two hundred forty-eight".