13458523950 has 96 divisors (see below), whose sum is σ = 37223569920. Its totient is φ = 3575599200.

The previous prime is 13458523919. The next prime is 13458523993. The reversal of 13458523950 is 5932585431.

13458523950 is a `hidden beast` number, since 1 + 34 + 5 + 8 + 523 + 95 + 0 = 666.

It is a super-2 number, since 2×13458523950² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 13458523896 and 13458523905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347457 + ... + 384243.

It is an arithmetic number, because the mean of its divisors is an integer number (387745520).

Almost surely, 2^13458523950 is an apocalyptic number.

13458523950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13458523950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18611784960).

13458523950 is an abundant number, since it is smaller than the sum of its proper divisors (23765045970).

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

13458523950 is a wasteful number, since it uses less digits than its factorization.

13458523950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37079 (or 37068 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 13458523950 in words is "thirteen billion, four hundred fifty-eight million, five hundred twenty-three thousand, nine hundred fifty".