61269020914000 has 80 divisors (see below), whose sum is σ = 148182024131856. Its totient is φ = 24502061376000.

The previous prime is 61269020913967. The next prime is 61269020914009. The reversal of 61269020914000 is 41902096216.

61269020914000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 21931388145216 + 39337632768784 = 4683096^2 + 6271972^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61269020914009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5377342 + ... + 12306658.

Almost surely, 2^{61269020914000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61269020914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74091012065928).

61269020914000 is an abundant number, since it is smaller than the sum of its proper divisors (86913003217856).

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

61269020914000 is a wasteful number, since it uses less digits than its factorization.

61269020914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6933761 (or 6933745 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 61269020914000 in words is "sixty-one trillion, two hundred sixty-nine billion, twenty million, nine hundred fourteen thousand".