114253794000 has 320 divisors, whose sum is σ = 423401472000. Its totient is φ = 29416665600.

The previous prime is 114253793993. The next prime is 114253794013. The reversal of 114253794000 is 497352411.

114253794000 is a `hidden beast` number, since 114 + 2 + 537 + 9 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1529521 + ... + 1602479.

It is an arithmetic number, because the mean of its divisors is an integer number (1323129600).

Almost surely, 2^114253794000 is an apocalyptic number.

114253794000 is a gapful number since it is divisible by the number (10) 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 114253794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211700736000).

114253794000 is an abundant number, since it is smaller than the sum of its proper divisors (309147678000).

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

114253794000 is a wasteful number, since it uses less digits than its factorization.

114253794000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73020 (or 72998 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 114253794000 in words is "one hundred fourteen billion, two hundred fifty-three million, seven hundred ninety-four thousand".