14735491949920 has 384 divisors, whose sum is σ = 42390387486720. Its totient is φ = 4731745075200.

The previous prime is 14735491949911. The next prime is 14735491949933. The reversal of 14735491949920 is 2994919453741.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236110720 + ... + 236173120.

It is an arithmetic number, because the mean of its divisors is an integer number (110391634080).

Almost surely, 2^{14735491949920} is an apocalyptic number.

14735491949920 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 14735491949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21195193743360).

14735491949920 is an abundant number, since it is smaller than the sum of its proper divisors (27654895536800).

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

14735491949920 is a wasteful number, since it uses less digits than its factorization.

14735491949920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62638 (or 62630 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 67.

The spelling of 14735491949920 in words is "fourteen trillion, seven hundred thirty-five billion, four hundred ninety-one million, nine hundred forty-nine thousand, nine hundred twenty".