202494789082152 has 384 divisors, whose sum is σ = 681328128000000. Its totient is φ = 53020091151360.

The previous prime is 202494789082139. The next prime is 202494789082153. The reversal of 202494789082152 is 251280987494202.

202494789082152 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 9 + 478 + 9 + 0 + 8 + 2 + 152 = 666.

It is a super-2 number, since 2×202494789082152² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 202494789082152.

It is not an unprimeable number, because it can be changed into a prime (202494789082153) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 707264724 + ... + 707550972.

It is an arithmetic number, because the mean of its divisors is an integer number (1774292000000).

Almost surely, 2^{202494789082152} 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 202494789082152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340664064000000).

202494789082152 is an abundant number, since it is smaller than the sum of its proper divisors (478833338917848).

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

202494789082152 is a wasteful number, since it uses less digits than its factorization.

202494789082152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288701 (or 288694 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 202494789082152 in words is "two hundred two trillion, four hundred ninety-four billion, seven hundred eighty-nine million, eighty-two thousand, one hundred fifty-two".