61526814273408 has 256 divisors, whose sum is σ = 188803996001280. Its totient is φ = 17545101312000.

The previous prime is 61526814273403. The next prime is 61526814273467. The reversal of 61526814273408 is 80437241862516.

It is a Cunningham number, because it is equal to 7843903²-1.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61526814273403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501948448 + ... + 502071008.

It is an arithmetic number, because the mean of its divisors is an integer number (737515609380).

Almost surely, 2^{61526814273408} is an apocalyptic number.

61526814273408 is a gapful number since it is divisible by the number (68) 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 61526814273408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94401998000640).

61526814273408 is an abundant number, since it is smaller than the sum of its proper divisors (127277181727872).

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

61526814273408 is a wasteful number, since it uses less digits than its factorization.

61526814273408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129597 (or 129585 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 61526814273408 in words is "sixty-one trillion, five hundred twenty-six billion, eight hundred fourteen million, two hundred seventy-three thousand, four hundred eight".