8138313292032 has 1728 divisors, whose sum is σ = 34044196838400. Its totient is φ = 1884514222080.

The previous prime is 8138313291961. The next prime is 8138313292103. The reversal of 8138313292032 is 2302923138318.

8138313292032 is a `hidden beast` number, since 8 + 13 + 8 + 313 + 292 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (8138313291961) and next prime (8138313292103).

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1203355083 + ... + 1203361845.

It is an arithmetic number, because the mean of its divisors is an integer number (19701502800).

Almost surely, 2^{8138313292032} 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 8138313292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17022098419200).

8138313292032 is an abundant number, since it is smaller than the sum of its proper divisors (25905883546368).

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

8138313292032 is a wasteful number, since it uses less digits than its factorization.

8138313292032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6849 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 8138313292032 in words is "eight trillion, one hundred thirty-eight billion, three hundred thirteen million, two hundred ninety-two thousand, thirty-two".