10151214656 has 84 divisors (see below), whose sum is σ = 22560227676. Its totient is φ = 4526945280.

The previous prime is 10151214629. The next prime is 10151214673. The reversal of 10151214656 is 65641215101.

It can be written as a sum of positive squares in 2 ways, for example, as 3424590400 + 6726624256 = 58520^2 + 82016^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398066 + ... + 422798.

It is an arithmetic number, because the mean of its divisors is an integer number (268574139).

Almost surely, 2^10151214656 is an apocalyptic number.

10151214656 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 10151214656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280113838).

10151214656 is an abundant number, since it is smaller than the sum of its proper divisors (12409013020).

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

10151214656 is a wasteful number, since it uses less digits than its factorization.

10151214656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24820 (or 24799 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

Adding to 10151214656 its reverse (65641215101), we get a palindrome (75792429757).

The spelling of 10151214656 in words is "ten billion, one hundred fifty-one million, two hundred fourteen thousand, six hundred fifty-six".