261503501337468 has 216 divisors, whose sum is σ = 756756727403040. Its totient is φ = 75674629969920.

The previous prime is 261503501337467. The next prime is 261503501337479. The reversal of 261503501337468 is 864733105305162.

261503501337468 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 0 + 3 + 501 + 3 + 3 + 74 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261503501337467) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 186082993 + ... + 187483031.

Almost surely, 2^{261503501337468} 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 261503501337468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378378363701520).

261503501337468 is an abundant number, since it is smaller than the sum of its proper divisors (495253226065572).

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

261503501337468 is a wasteful number, since it uses less digits than its factorization.

261503501337468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401477 (or 1401455 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 261503501337468 in words is "two hundred sixty-one trillion, five hundred three billion, five hundred one million, three hundred thirty-seven thousand, four hundred sixty-eight".