10362136264032 has 192 divisors, whose sum is σ = 33098910405120. Its totient is φ = 2770889465856.

The previous prime is 10362136263991. The next prime is 10362136264033. The reversal of 10362136264032 is 23046263126301.

It is a super-3 number, since 3×10362136264032³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10362136264033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488763 + ... + 4578554.

It is an arithmetic number, because the mean of its divisors is an integer number (172390158360).

Almost surely, 2^{10362136264032} is an apocalyptic number.

10362136264032 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 10362136264032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16549455202560).

10362136264032 is an abundant number, since it is smaller than the sum of its proper divisors (22736774141088).

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

10362136264032 is a wasteful number, since it uses less digits than its factorization.

10362136264032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067533 (or 5067525 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 10362136264032 in words is "ten trillion, three hundred sixty-two billion, one hundred thirty-six million, two hundred sixty-four thousand, thirty-two".