1661468256 has 144 divisors (see below), whose sum is σ = 5531748768. Its totient is φ = 463104000.

The previous prime is 1661468213. The next prime is 1661468309. The reversal of 1661468256 is 6528641661.

1661468256 is a `hidden beast` number, since 1 + 6 + 614 + 6 + 8 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1661468256³ (a number of 29 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72606 + ... + 92706.

It is an arithmetic number, because the mean of its divisors is an integer number (38414922).

Almost surely, 2^1661468256 is an apocalyptic number.

1661468256 is a gapful number since it is divisible by the number (16) 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 1661468256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765874384).

1661468256 is an abundant number, since it is smaller than the sum of its proper divisors (3870280512).

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

1661468256 is a wasteful number, since it uses less digits than its factorization.

1661468256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20165 (or 20154 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1661468256 is about 40761.1120554874. The cubic root of 1661468256 is about 1184.3971382035.

The spelling of 1661468256 in words is "one billion, six hundred sixty-one million, four hundred sixty-eight thousand, two hundred fifty-six".