4496160151296 has 576 divisors, whose sum is σ = 14798472353280. Its totient is φ = 1351829606400.

The previous prime is 4496160151289. The next prime is 4496160151303. The reversal of 4496160151296 is 6921510616944.

4496160151296 is a `hidden beast` number, since 4 + 4 + 9 + 6 + 1 + 601 + 5 + 1 + 29 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4496160151289) and next prime (4496160151303).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4496160151296² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 806772766 + ... + 806778338.

It is an arithmetic number, because the mean of its divisors is an integer number (25691792280).

Almost surely, 2^{4496160151296} 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 4496160151296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399236176640).

4496160151296 is an abundant number, since it is smaller than the sum of its proper divisors (10302312201984).

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

4496160151296 is an equidigital number, since it uses as much as digits as its factorization.

4496160151296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 4496160151296 in words is "four trillion, four hundred ninety-six billion, one hundred sixty million, one hundred fifty-one thousand, two hundred ninety-six".