974870747136 has 1536 divisors, whose sum is σ = 3624503500800. Its totient is φ = 254803968000.

The previous prime is 974870747119. The next prime is 974870747141. The reversal of 974870747136 is 631747078479.

974870747136 is a `hidden beast` number, since 97 + 4 + 8 + 70 + 7 + 471 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10050213840 + ... + 10050213936.

It is an arithmetic number, because the mean of its divisors is an integer number (2359702800).

Almost surely, 2^974870747136 is an apocalyptic number.

974870747136 is a gapful number since it is divisible by the number (96) 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 974870747136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812251750400).

974870747136 is an abundant number, since it is smaller than the sum of its proper divisors (2649632753664).

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

974870747136 is a wasteful number, since it uses less digits than its factorization.

974870747136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 974870747136 in words is "nine hundred seventy-four billion, eight hundred seventy million, seven hundred forty-seven thousand, one hundred thirty-six".