114253148100 has 432 divisors, whose sum is σ = 415260379968. Its totient is φ = 24040074240.

The previous prime is 114253148059. The next prime is 114253148101. The reversal of 114253148100 is 1841352411.

It is a super-2 number, since 2×114253148100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (114253148101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104531154 + ... + 104532246.

Almost surely, 2^114253148100 is an apocalyptic number.

114253148100 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 114253148100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207630189984).

114253148100 is an abundant number, since it is smaller than the sum of its proper divisors (301007231868).

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

114253148100 is a wasteful number, since it uses less digits than its factorization.

114253148100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 114253148100 in words is "one hundred fourteen billion, two hundred fifty-three million, one hundred forty-eight thousand, one hundred".