1249359488832 has 224 divisors, whose sum is σ = 4145192900352. Its totient is φ = 323284156416.

The previous prime is 1249359488759. The next prime is 1249359488843. The reversal of 1249359488832 is 2388849539421.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251428 + ... + 1600604.

It is an arithmetic number, because the mean of its divisors is an integer number (18505325448).

Almost surely, 2^{1249359488832} is an apocalyptic number.

1249359488832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249359488832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072596450176).

1249359488832 is an abundant number, since it is smaller than the sum of its proper divisors (2895833411520).

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

1249359488832 is a wasteful number, since it uses less digits than its factorization.

1249359488832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349265 (or 1349255 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 66.

The spelling of 1249359488832 in words is "one trillion, two hundred forty-nine billion, three hundred fifty-nine million, four hundred eighty-eight thousand, eight hundred thirty-two".