140013313532352 has 224 divisors, whose sum is σ = 444023324458560. Its totient is φ = 43008366182400.

The previous prime is 140013313532327. The next prime is 140013313532369. The reversal of 140013313532352 is 253235313310041.

140013313532352 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 13 + 313 + 5 + 323 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8065852 + ... + 18576452.

It is an arithmetic number, because the mean of its divisors is an integer number (1982246984190).

Almost surely, 2^{140013313532352} is an apocalyptic number.

140013313532352 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 140013313532352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222011662229280).

140013313532352 is an abundant number, since it is smaller than the sum of its proper divisors (304010010926208).

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

140013313532352 is a wasteful number, since it uses less digits than its factorization.

140013313532352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10511228 (or 10511212 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 140013313532352 its reverse (253235313310041), we get a palindrome (393248626842393).

The spelling of 140013313532352 in words is "one hundred forty trillion, thirteen billion, three hundred thirteen million, five hundred thirty-two thousand, three hundred fifty-two".