114437597397601 has 27 divisors (see below), whose sum is σ = 124138271896569. Its totient is φ = 105477510538368.

The previous prime is 114437597397583. The next prime is 114437597397619. The reversal of 114437597397601 is 106793795734411.

The square root of 114437597397601 is 10697551.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (114437597397583) and next prime (114437597397619).

It can be written as a sum of positive squares in 4 ways, for example, as 64464857058001 + 49972740339600 = 8029001^2 + 7069140^2 .

It is a de Polignac number, because none of the positive numbers 2^k-114437597397601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114437597397691) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7520370745 + ... + 7520385961.

It is an arithmetic number, because the mean of its divisors is an integer number (4597713773947).

Almost surely, 2^{114437597397601} is an apocalyptic number.

114437597397601 is the 10697551-st square number.

114437597397601 is the 5348776-th centered octagonal number.

It is an amenable number.

114437597397601 is a deficient number, since it is larger than the sum of its proper divisors (9700674498968).

114437597397601 is an frugal number, since it uses more digits than its factorization.

114437597397601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30546 (or 15273 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 67.

The spelling of 114437597397601 in words is "one hundred fourteen trillion, four hundred thirty-seven billion, five hundred ninety-seven million, three hundred ninety-seven thousand, six hundred one".