32451903451264 has 144 divisors (see below), whose sum is σ = 74285871985710. Its totient is φ = 14109519677440.

The previous prime is 32451903451223. The next prime is 32451903451267. The reversal of 32451903451264 is 46215430915423.

It can be written as a sum of positive squares in only one way, i.e., 24249636569664 + 8202266881600 = 4924392^2 + 2863960^2 .

It is a super-2 number, since 2×32451903451264² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32451903451267) 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 17 ways as a sum of consecutive naturals, for example, 6212724 + ... + 10173580.

Almost surely, 2^{32451903451264} 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 32451903451264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37142935992855).

32451903451264 is an abundant number, since it is smaller than the sum of its proper divisors (41833968534446).

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

32451903451264 is a wasteful number, since it uses less digits than its factorization.

32451903451264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960939 (or 3960893 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

The spelling of 32451903451264 in words is "thirty-two trillion, four hundred fifty-one billion, nine hundred three million, four hundred fifty-one thousand, two hundred sixty-four".