13951473900 has 432 divisors, whose sum is σ = 52609132800. Its totient is φ = 2787333120.

The previous prime is 13951473889. The next prime is 13951473911. The reversal of 13951473900 is 937415931.

It is an interprime number because it is at equal distance from previous prime (13951473889) and next prime (13951473911).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6742066 + ... + 6744134.

It is an arithmetic number, because the mean of its divisors is an integer number (121780400).

Almost surely, 2^13951473900 is an apocalyptic number.

13951473900 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 13951473900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26304566400).

13951473900 is an abundant number, since it is smaller than the sum of its proper divisors (38657658900).

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

13951473900 is a wasteful number, since it uses less digits than its factorization.

13951473900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 13951473900 in words is "thirteen billion, nine hundred fifty-one million, four hundred seventy-three thousand, nine hundred".