10114397135460 has 576 divisors, whose sum is σ = 35097385639680. Its totient is φ = 2341661736960.

The previous prime is 10114397135411. The next prime is 10114397135461. The reversal of 10114397135460 is 6453179341101.

10114397135460 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 3 + 97 + 13 + 546 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10114397135461) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1303901902 + ... + 1303909658.

It is an arithmetic number, because the mean of its divisors is an integer number (60932961180).

Almost surely, 2^{10114397135460} is an apocalyptic number.

10114397135460 is a gapful number since it is divisible by the number (10) 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 10114397135460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548692819840).

10114397135460 is an abundant number, since it is smaller than the sum of its proper divisors (24982988504220).

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

10114397135460 is a wasteful number, since it uses less digits than its factorization.

10114397135460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8396 (or 8391 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10114397135460 in words is "ten trillion, one hundred fourteen billion, three hundred ninety-seven million, one hundred thirty-five thousand, four hundred sixty".