46253892144 has 80 divisors (see below), whose sum is σ = 126029433600. Its totient is φ = 14577308928.

The previous prime is 46253892137. The next prime is 46253892169. The reversal of 46253892144 is 44129835264.

It is a super-3 number, since 3×46253892144³ (a number of 33 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 46253892093 and 46253892102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408322 + ... + 509150.

It is an arithmetic number, because the mean of its divisors is an integer number (1575367920).

Almost surely, 2^46253892144 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 46253892144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63014716800).

46253892144 is an abundant number, since it is smaller than the sum of its proper divisors (79775541456).

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

46253892144 is a wasteful number, since it uses less digits than its factorization.

46253892144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101362 (or 101356 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 46253892144 in words is "forty-six billion, two hundred fifty-three million, eight hundred ninety-two thousand, one hundred forty-four".