114826897954560 has 1152 divisors, whose sum is σ = 408145511854080. Its totient is φ = 27282486067200.

The previous prime is 114826897954481. The next prime is 114826897954567. The reversal of 114826897954560 is 65459798628411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114826897954567) 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, 259202929699 + ... + 259202930141.

It is an arithmetic number, because the mean of its divisors is an integer number (354292979040).

Almost surely, 2^{114826897954560} is an apocalyptic number.

114826897954560 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 114826897954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204072755927040).

114826897954560 is an abundant number, since it is smaller than the sum of its proper divisors (293318613899520).

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

114826897954560 is a wasteful number, since it uses less digits than its factorization.

114826897954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 75.

The spelling of 114826897954560 in words is "one hundred fourteen trillion, eight hundred twenty-six billion, eight hundred ninety-seven million, nine hundred fifty-four thousand, five hundred sixty".