213703401667392 has 1568 divisors, whose sum is σ = 829790392435200. Its totient is φ = 52967725203456.

The previous prime is 213703401667373. The next prime is 213703401667537. The reversal of 213703401667392 is 293766104307312.

213703401667392 is a `hidden beast` number, since 2 + 1 + 3 + 70 + 340 + 166 + 73 + 9 + 2 = 666.

It is a super-3 number, since 3×213703401667392³ (a number of 44 digits) contains 333 as substring.

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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 60556360284 + ... + 60556363812.

It is an arithmetic number, because the mean of its divisors is an integer number (529203056400).

Almost surely, 2^{213703401667392} 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 213703401667392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414895196217600).

213703401667392 is an abundant number, since it is smaller than the sum of its proper divisors (616086990767808).

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

213703401667392 is a wasteful number, since it uses less digits than its factorization.

213703401667392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 213703401667392 in words is "two hundred thirteen trillion, seven hundred three billion, four hundred one million, six hundred sixty-seven thousand, three hundred ninety-two".