254137965312 has 432 divisors, whose sum is σ = 861036994944. Its totient is φ = 65802240000.

The previous prime is 254137965299. The next prime is 254137965317. The reversal of 254137965312 is 213569731452.

254137965312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×254137965312² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (254137965317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165993987 + ... + 165995517.

It is an arithmetic number, because the mean of its divisors is an integer number (1993141192).

Almost surely, 2^254137965312 is an apocalyptic number.

254137965312 is a gapful number since it is divisible by the number (22) 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 254137965312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430518497472).

254137965312 is an abundant number, since it is smaller than the sum of its proper divisors (606899029632).

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

254137965312 is a wasteful number, since it uses less digits than its factorization.

254137965312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1955 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The spelling of 254137965312 in words is "two hundred fifty-four billion, one hundred thirty-seven million, nine hundred sixty-five thousand, three hundred twelve".