10151216552464 has 80 divisors (see below), whose sum is σ = 21220831623600. Its totient is φ = 4676352565248.

The previous prime is 10151216552419. The next prime is 10151216552473. The reversal of 10151216552464 is 46425561215101.

It can be written as a sum of positive squares in 8 ways, for example, as 402833934864 + 9748382617600 = 634692^2 + 3122240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10151216552464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270730902 + ... + 270768394.

It is an arithmetic number, because the mean of its divisors is an integer number (265260395295).

Almost surely, 2^{10151216552464} is an apocalyptic number.

It is an amenable number.

10151216552464 is an abundant number, since it is smaller than the sum of its proper divisors (11069615071136).

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

10151216552464 is a wasteful number, since it uses less digits than its factorization.

10151216552464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39932 (or 39926 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

Adding to 10151216552464 its reverse (46425561215101), we get a palindrome (56576777767565).

The spelling of 10151216552464 in words is "ten trillion, one hundred fifty-one billion, two hundred sixteen million, five hundred fifty-two thousand, four hundred sixty-four".