213514149888 has 336 divisors, whose sum is σ = 671957264160. Its totient is φ = 64932544512.

The previous prime is 213514149811. The next prime is 213514149899. The reversal of 213514149888 is 888941415312.

213514149888 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 141 + 498 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85302045 + ... + 85304547.

It is an arithmetic number, because the mean of its divisors is an integer number (1999872810).

Almost surely, 2^213514149888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213514149888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335978632080).

213514149888 is an abundant number, since it is smaller than the sum of its proper divisors (458443114272).

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

213514149888 is a wasteful number, since it uses less digits than its factorization.

213514149888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2610 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 213514149888 in words is "two hundred thirteen billion, five hundred fourteen million, one hundred forty-nine thousand, eight hundred eighty-eight".