4661156331144 has 256 divisors, whose sum is σ = 13344307200000. Its totient is φ = 1506605806080.

The previous prime is 4661156331133. The next prime is 4661156331173. The reversal of 4661156331144 is 4411336511664.

It is a happy number.

4661156331144 is a `hidden beast` number, since 4 + 6 + 6 + 1 + 1 + 5 + 633 + 1 + 1 + 4 + 4 = 666.

It is a super-3 number, since 3×4661156331144³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4661156331144.

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, 1554235357 + ... + 1554238355.

It is an arithmetic number, because the mean of its divisors is an integer number (52126200000).

Almost surely, 2^{4661156331144} 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 4661156331144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672153600000).

4661156331144 is an abundant number, since it is smaller than the sum of its proper divisors (8683150868856).

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

4661156331144 is a wasteful number, since it uses less digits than its factorization.

4661156331144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4055 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 4661156331144 in words is "four trillion, six hundred sixty-one billion, one hundred fifty-six million, three hundred thirty-one thousand, one hundred forty-four".