13909915319454 has 768 divisors, whose sum is σ = 40374816768000. Its totient is φ = 3427844313600.

The previous prime is 13909915319441. The next prime is 13909915319467. The reversal of 13909915319454 is 45491351990931.

13909915319454 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 9 + 9 + 1 + 531 + 94 + 5 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13909915319441) and next prime (13909915319467).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 13909915319391 and 13909915319400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15135924807 + ... + 15135925725.

It is an arithmetic number, because the mean of its divisors is an integer number (52571376000).

Almost surely, 2^{13909915319454} is an apocalyptic number.

13909915319454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13909915319454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20187408384000).

13909915319454 is an abundant number, since it is smaller than the sum of its proper divisors (26464901448546).

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

13909915319454 is a wasteful number, since it uses less digits than its factorization.

13909915319454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 63.

The spelling of 13909915319454 in words is "thirteen trillion, nine hundred nine billion, nine hundred fifteen million, three hundred nineteen thousand, four hundred fifty-four".