10153413654144 has 64 divisors (see below), whose sum is σ = 26980313384640. Its totient is φ = 3383177619456.

The previous prime is 10153413654049. The next prime is 10153413654169. The reversal of 10153413654144 is 44145631435101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10153413654096 and 10153413654105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4046884 + ... + 6056739.

It is an arithmetic number, because the mean of its divisors is an integer number (421567396635).

Almost surely, 2^{10153413654144} is an apocalyptic number.

It is an amenable number.

10153413654144 is an abundant number, since it is smaller than the sum of its proper divisors (16826899730496).

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

10153413654144 is a wasteful number, since it uses less digits than its factorization.

10153413654144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10106257 (or 10106245 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 10153413654144 in words is "ten trillion, one hundred fifty-three billion, four hundred thirteen million, six hundred fifty-four thousand, one hundred forty-four".