10064249268192 has 288 divisors, whose sum is σ = 34172598932640. Its totient is φ = 2873307064320.

The previous prime is 10064249268131. The next prime is 10064249268193. The reversal of 10064249268192 is 29186294246001.

10064249268192 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 4 + 2 + 492 + 68 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10064249268192² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10064249268193) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55835878 + ... + 56015834.

It is an arithmetic number, because the mean of its divisors is an integer number (118654857405).

Almost surely, 2^{10064249268192} is an apocalyptic number.

10064249268192 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 10064249268192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17086299466320).

10064249268192 is an abundant number, since it is smaller than the sum of its proper divisors (24108349664448).

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

10064249268192 is a wasteful number, since it uses less digits than its factorization.

10064249268192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181311 (or 181290 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 10064249268192 in words is "ten trillion, sixty-four billion, two hundred forty-nine million, two hundred sixty-eight thousand, one hundred ninety-two".