10145562336 has 240 divisors, whose sum is σ = 36724320864. Its totient is φ = 2675690496.

The previous prime is 10145562307. The next prime is 10145562367. The reversal of 10145562336 is 63326554101.

10145562336 is a `hidden beast` number, since 10 + 14 + 5 + 5 + 623 + 3 + 6 = 666.

It is a super-2 number, since 2×10145562336² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10145562336.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 214366 + ... + 257378.

Almost surely, 2^10145562336 is an apocalyptic number.

10145562336 is a gapful number since it is divisible by the number (16) 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 10145562336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18362160432).

10145562336 is an abundant number, since it is smaller than the sum of its proper divisors (26578758528).

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

10145562336 is a wasteful number, since it uses less digits than its factorization.

10145562336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43055 (or 43038 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10145562336 in words is "ten billion, one hundred forty-five million, five hundred sixty-two thousand, three hundred thirty-six".