13953337398 has 384 divisors, whose sum is σ = 43358085120. Its totient is φ = 3233260800.

The previous prime is 13953337381. The next prime is 13953337403. The reversal of 13953337398 is 89373335931.

13953337398 is a `hidden beast` number, since 1 + 39 + 533 + 3 + 73 + 9 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 18432036 + ... + 18432792.

It is an arithmetic number, because the mean of its divisors is an integer number (112911680).

Almost surely, 2^13953337398 is an apocalyptic number.

13953337398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13953337398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21679042560).

13953337398 is an abundant number, since it is smaller than the sum of its proper divisors (29404747722).

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

13953337398 is a wasteful number, since it uses less digits than its factorization.

13953337398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 824 counting only the distinct ones).

The product of its digits is 5511240, while the sum is 54.

The spelling of 13953337398 in words is "thirteen billion, nine hundred fifty-three million, three hundred thirty-seven thousand, three hundred ninety-eight".