10153151004465 has 80 divisors (see below), whose sum is σ = 20805361750272. Its totient is φ = 4640362183296.

The previous prime is 10153151004449. The next prime is 10153151004467. The reversal of 10153151004465 is 56440015135101.

10153151004465 is a `hidden beast` number, since 1 + 0 + 15 + 31 + 510 + 0 + 44 + 65 = 666.

It is not a de Polignac number, because 10153151004465 - 2⁴ = 10153151004449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10153151004467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11853207 + ... + 12680883.

Almost surely, 2^{10153151004465} is an apocalyptic number.

10153151004465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10153151004465 is an abundant number, since it is smaller than the sum of its proper divisors (10652210745807).

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

10153151004465 is an equidigital number, since it uses as much as digits as its factorization.

10153151004465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832028 (or 832019 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 10153151004465 its reverse (56440015135101), we get a palindrome (66593166139566).

The spelling of 10153151004465 in words is "ten trillion, one hundred fifty-three billion, one hundred fifty-one million, four thousand, four hundred sixty-five".