3991301056512 has 1536 divisors, whose sum is σ = 15692092416000. Its totient is φ = 971652464640.

The previous prime is 3991301056507. The next prime is 3991301056553. The reversal of 3991301056512 is 2156501031993.

3991301056512 is a `hidden beast` number, since 3 + 9 + 91 + 30 + 10 + 5 + 6 + 512 = 666.

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

It is a super-2 number, since 2×3991301056512² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5190248064 + ... + 5190248832.

It is an arithmetic number, because the mean of its divisors is an integer number (10216206000).

Almost surely, 2^{3991301056512} is an apocalyptic number.

3991301056512 is a gapful number since it is divisible by the number (32) 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 3991301056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7846046208000).

3991301056512 is an abundant number, since it is smaller than the sum of its proper divisors (11700791359488).

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

3991301056512 is a wasteful number, since it uses less digits than its factorization.

3991301056512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 3991301056512 in words is "three trillion, nine hundred ninety-one billion, three hundred one million, fifty-six thousand, five hundred twelve".