114771001612740 has 384 divisors, whose sum is σ = 366633050112000. Its totient is φ = 26554146178560.

The previous prime is 114771001612739. The next prime is 114771001612747. The reversal of 114771001612740 is 47216100177411.

It is a super-2 number, since 2×114771001612740² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114771001612692 and 114771001612701.

It is not an unprimeable number, because it can be changed into a prime (114771001612747) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30179067679 + ... + 30179071481.

It is an arithmetic number, because the mean of its divisors is an integer number (954773568000).

Almost surely, 2^{114771001612740} is an apocalyptic number.

114771001612740 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 114771001612740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183316525056000).

114771001612740 is an abundant number, since it is smaller than the sum of its proper divisors (251862048499260).

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

114771001612740 is a wasteful number, since it uses less digits than its factorization.

114771001612740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7767 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 42.

The spelling of 114771001612740 in words is "one hundred fourteen trillion, seven hundred seventy-one billion, one million, six hundred twelve thousand, seven hundred forty".