974802097152 has 396 divisors, whose sum is σ = 3147944945236. Its totient is φ = 299912232960.

The previous prime is 974802097141. The next prime is 974802097153. The reversal of 974802097152 is 251790208479.

974802097152 is a `hidden beast` number, since 9 + 7 + 480 + 2 + 0 + 9 + 7 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69898899456 + 904903197696 = 264384^2 + 951264^2 .

It is a super-3 number, since 3×974802097152³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974802097153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87334452 + ... + 87345612.

Almost surely, 2^974802097152 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 974802097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573972472618).

974802097152 is an abundant number, since it is smaller than the sum of its proper divisors (2173142848084).

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

974802097152 is an equidigital number, since it uses as much as digits as its factorization.

974802097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11218 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 974802097152 in words is "nine hundred seventy-four billion, eight hundred two million, ninety-seven thousand, one hundred fifty-two".