4970701191456 has 1920 divisors, whose sum is σ = 20158839816192. Its totient is φ = 1169721907200.

The previous prime is 4970701191433. The next prime is 4970701191499. The reversal of 4970701191456 is 6541911070794.

It is a happy number.

4970701191456 is a `hidden beast` number, since 4 + 9 + 7 + 0 + 70 + 119 + 1 + 456 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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 319 ways as a sum of consecutive naturals, for example, 22290139761 + ... + 22290139983.

Almost surely, 2^{4970701191456} 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 4970701191456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10079419908096).

4970701191456 is an abundant number, since it is smaller than the sum of its proper divisors (15188138624736).

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

4970701191456 is a wasteful number, since it uses less digits than its factorization.

4970701191456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 4970701191456 in words is "four trillion, nine hundred seventy billion, seven hundred one million, one hundred ninety-one thousand, four hundred fifty-six".