213948507561984 has 896 divisors, whose sum is σ = 721064218828800. Its totient is φ = 62224084500480.

The previous prime is 213948507561983. The next prime is 213948507562007. The reversal of 213948507561984 is 489165705849312.

213948507561984 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 4 + 8 + 50 + 7 + 561 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (213948507561983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3832869627 + ... + 3832925445.

It is an arithmetic number, because the mean of its divisors is an integer number (804759172800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅213948507561984 = 427897015123968, but 3⋅213948507561984 = 641845522685952 is not.

Almost surely, 2^{213948507561984} is an apocalyptic number.

213948507561984 is a gapful number since it is divisible by the number (24) 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 213948507561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360532109414400).

213948507561984 is an abundant number, since it is smaller than the sum of its proper divisors (507115711266816).

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

213948507561984 is a wasteful number, since it uses less digits than its factorization.

213948507561984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55941 (or 55911 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 213948507561984 in words is "two hundred thirteen trillion, nine hundred forty-eight billion, five hundred seven million, five hundred sixty-one thousand, nine hundred eighty-four".