7133456638352 has 80 divisors (see below), whose sum is σ = 15740592537600. Its totient is φ = 3100021584000.

The previous prime is 7133456638333. The next prime is 7133456638369. The reversal of 7133456638352 is 2538366543317.

It is a super-2 number, since 2×7133456638352² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8076977 + ... + 8916527.

It is an arithmetic number, because the mean of its divisors is an integer number (196757406720).

Almost surely, 2^{7133456638352} 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 7133456638352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7870296268800).

7133456638352 is an abundant number, since it is smaller than the sum of its proper divisors (8607135899248).

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

7133456638352 is a wasteful number, since it uses less digits than its factorization.

7133456638352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841692 (or 841686 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 56.

The spelling of 7133456638352 in words is "seven trillion, one hundred thirty-three billion, four hundred fifty-six million, six hundred thirty-eight thousand, three hundred fifty-two".