214785190149152 has 384 divisors, whose sum is σ = 514579922841600. Its totient is φ = 86271267962880.

The previous prime is 214785190149073. The next prime is 214785190149169. The reversal of 214785190149152 is 251941091587412.

It is a super-2 number, since 2×214785190149152² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214785190149091 and 214785190149100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29394438683 + ... + 29394445989.

It is an arithmetic number, because the mean of its divisors is an integer number (1340051882400).

Almost surely, 2^{214785190149152} 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 214785190149152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257289961420800).

214785190149152 is an abundant number, since it is smaller than the sum of its proper divisors (299794732692448).

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

214785190149152 is a wasteful number, since it uses less digits than its factorization.

214785190149152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 59.

The spelling of 214785190149152 in words is "two hundred fourteen trillion, seven hundred eighty-five billion, one hundred ninety million, one hundred forty-nine thousand, one hundred fifty-two".