1461165888 has 252 divisors, whose sum is σ = 4875032160. Its totient is φ = 384943104.

The previous prime is 1461165869. The next prime is 1461165907. The reversal of 1461165888 is 8885611641.

It is an interprime number because it is at equal distance from previous prime (1461165869) and next prime (1461165907).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1589493 + ... + 1590411.

Almost surely, 2^1461165888 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 1461165888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437516080).

1461165888 is an abundant number, since it is smaller than the sum of its proper divisors (3413866272).

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

1461165888 is a wasteful number, since it uses less digits than its factorization.

1461165888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 944 counting only the distinct ones).

The product of its digits is 368640, while the sum is 48.

The square root of 1461165888 is about 38225.1996463066. The cubic root of 1461165888 is about 1134.7490859242.

The spelling of 1461165888 in words is "one billion, four hundred sixty-one million, one hundred sixty-five thousand, eight hundred eighty-eight".