4956199293024 has 576 divisors, whose sum is σ = 16551285424128. Its totient is φ = 1377576345600.

The previous prime is 4956199292999. The next prime is 4956199293037. The reversal of 4956199293024 is 4203929916594.

4956199293024 is a `hidden beast` number, since 4 + 9 + 5 + 619 + 9 + 2 + 9 + 3 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×4956199293024² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11499302089 + ... + 11499302519.

It is an arithmetic number, because the mean of its divisors is an integer number (28734870528).

Almost surely, 2^{4956199293024} 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 4956199293024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8275642712064).

4956199293024 is an abundant number, since it is smaller than the sum of its proper divisors (11595086131104).

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

4956199293024 is a wasteful number, since it uses less digits than its factorization.

4956199293024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 4956199293024 in words is "four trillion, nine hundred fifty-six billion, one hundred ninety-nine million, two hundred ninety-three thousand, twenty-four".