1612953468 has 72 divisors (see below), whose sum is σ = 4687667712. Its totient is φ = 458072352.

The previous prime is 1612953439. The next prime is 1612953479. The reversal of 1612953468 is 8643592161.

1612953468 is a `hidden beast` number, since 16 + 1 + 295 + 346 + 8 = 666.

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, 22921 + ... + 61247.

It is an arithmetic number, because the mean of its divisors is an integer number (65106496).

Almost surely, 2^1612953468 is an apocalyptic number.

1612953468 is a gapful number since it is divisible by the number (18) 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 1612953468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343833856).

1612953468 is an abundant number, since it is smaller than the sum of its proper divisors (3074714244).

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

1612953468 is a wasteful number, since it uses less digits than its factorization.

1612953468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38511 (or 38506 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1612953468 is about 40161.5919505191. The cubic root of 1612953468 is about 1172.7549630645.

The spelling of 1612953468 in words is "one billion, six hundred twelve million, nine hundred fifty-three thousand, four hundred sixty-eight".