83769665740929 has 135 divisors (see below), whose sum is σ = 146820076222611. Its totient is φ = 47460138878880.

The previous prime is 83769665740919. The next prime is 83769665740951. The reversal of 83769665740929 is 92904756696738.

The square root of 83769665740929 is 9152577.

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

83769665740929 is a `hidden beast` number, since 8 + 3 + 76 + 96 + 6 + 57 + 409 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1354134850929 + 82415530890000 = 1163673^2 + 9078300^2 .

It is not a de Polignac number, because 83769665740929 - 2¹³ = 83769665732737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (83769665740919) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 75536217427 + ... + 75536218535.

Almost surely, 2^{83769665740929} is an apocalyptic number.

83769665740929 is the 9152577-th square number.

83769665740929 is the 4576289-th centered octagonal number.

It is an amenable number.

83769665740929 is a deficient number, since it is larger than the sum of its proper divisors (63050410481682).

83769665740929 is an frugal number, since it uses more digits than its factorization.

83769665740929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 7407106560, while the sum is 81.

83769665740929 divided by its sum of digits (81) gives a square (1034193404209 = 1016953²).

The spelling of 83769665740929 in words is "eighty-three trillion, seven hundred sixty-nine billion, six hundred sixty-five million, seven hundred forty thousand, nine hundred twenty-nine".