261914730897456 has 720 divisors, whose sum is σ = 927026020537344. Its totient is φ = 68418839752704.

The previous prime is 261914730897451. The next prime is 261914730897467. The reversal of 261914730897456 is 654798037419162.

261914730897456 is a `hidden beast` number, since 2 + 6 + 1 + 9 + 1 + 473 + 0 + 89 + 74 + 5 + 6 = 666.

261914730897456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×261914730897456² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (261914730897451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7141098190 + ... + 7141134866.

It is a 1-persistent number, because it is pandigital, but 2⋅261914730897456 = 523829461794912 is not.

Almost surely, 2^{261914730897456} is an apocalyptic number.

261914730897456 is a gapful number since it is divisible by the number (26) 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 261914730897456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463513010268672).

261914730897456 is an abundant number, since it is smaller than the sum of its proper divisors (665111289639888).

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

261914730897456 is a wasteful number, since it uses less digits than its factorization.

261914730897456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37458 (or 37442 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 261914730897456 in words is "two hundred sixty-one trillion, nine hundred fourteen billion, seven hundred thirty million, eight hundred ninety-seven thousand, four hundred fifty-six".