13946047500 has 960 divisors, whose sum is σ = 56429936640. Its totient is φ = 2592000000.

The previous prime is 13946047499. The next prime is 13946047501. The reversal of 13946047500 is 574064931.

It is an interprime number because it is at equal distance from previous prime (13946047499) and next prime (13946047501).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13946047501) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 340147480 + ... + 340147520.

It is an arithmetic number, because the mean of its divisors is an integer number (58781184).

Almost surely, 2^13946047500 is an apocalyptic number.

13946047500 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 13946047500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28214968320).

13946047500 is an abundant number, since it is smaller than the sum of its proper divisors (42483889140).

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

13946047500 is a wasteful number, since it uses less digits than its factorization.

13946047500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 13946047500 in words is "thirteen billion, nine hundred forty-six million, forty-seven thousand, five hundred".