216857352162000 has 1920 divisors, whose sum is σ = 796672209715200. Its totient is φ = 50687949312000.

The previous prime is 216857352161999. The next prime is 216857352162023. The reversal of 216857352162000 is 261253758612.

It is a super-2 number, since 2×216857352162000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 972454493889 + ... + 972454494111.

It is an arithmetic number, because the mean of its divisors is an integer number (414933442560).

Almost surely, 2^{216857352162000} is an apocalyptic number.

216857352162000 is a gapful number since it is divisible by the number (20) 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 216857352162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398336104857600).

216857352162000 is an abundant number, since it is smaller than the sum of its proper divisors (579814857553200).

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

216857352162000 is a wasteful number, since it uses less digits than its factorization.

216857352162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 216857352162000 in words is "two hundred sixteen trillion, eight hundred fifty-seven billion, three hundred fifty-two million, one hundred sixty-two thousand".