974273891730048 has 2304 divisors, whose sum is σ = 3790092773376000. Its totient is φ = 248648337100800.

The previous prime is 974273891730023. The next prime is 974273891730071. The reversal of 974273891730048 is 840037198372479.

974273891730048 is a `hidden beast` number, since 9 + 7 + 4 + 273 + 8 + 9 + 1 + 7 + 300 + 48 = 666.

It is a super-2 number, since 2×974273891730048² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55893163893 + ... + 55893181323.

It is an arithmetic number, because the mean of its divisors is an integer number (1645005544000).

Almost surely, 2^{974273891730048} is an apocalyptic number.

974273891730048 is a gapful number since it is divisible by the number (98) 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 974273891730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895046386688000).

974273891730048 is an abundant number, since it is smaller than the sum of its proper divisors (2815818881645952).

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

974273891730048 is a wasteful number, since it uses less digits than its factorization.

974273891730048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17538 (or 17487 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 974273891730048 in words is "nine hundred seventy-four trillion, two hundred seventy-three billion, eight hundred ninety-one million, seven hundred thirty thousand, forty-eight".