261375804946176 has 144 divisors (see below), whose sum is σ = 701031519707904. Its totient is φ = 86450679734272.

The previous prime is 261375804946171. The next prime is 261375804946211. The reversal of 261375804946176 is 671649408573162.

It is a super-2 number, since 2×261375804946176² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 261375804946176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261375804946171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235445725 + ... + 236553251.

It is an arithmetic number, because the mean of its divisors is an integer number (4868274442416).

It is a 1-persistent number, because it is pandigital, but 2⋅261375804946176 = 522751609892352 is not.

Almost surely, 2^{261375804946176} 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 261375804946176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350515759853952).

261375804946176 is an abundant number, since it is smaller than the sum of its proper divisors (439655714761728).

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

261375804946176 is a wasteful number, since it uses less digits than its factorization.

261375804946176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109926 (or 1109912 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 261375804946176 in words is "two hundred sixty-one trillion, three hundred seventy-five billion, eight hundred four million, nine hundred forty-six thousand, one hundred seventy-six".