61534266243516 has 192 divisors, whose sum is σ = 189105668505600. Its totient is φ = 17095489732800.

The previous prime is 61534266243493. The next prime is 61534266243557.

61534266243516 is a `hidden beast` number, since 6 + 1 + 5 + 3 + 4 + 2 + 6 + 624 + 3 + 5 + 1 + 6 = 666.

61534266243516 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43270150 + ... + 44669613.

It is an arithmetic number, because the mean of its divisors is an integer number (984925356800).

Almost surely, 2^{61534266243516} is an apocalyptic number.

61534266243516 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61534266243516 is an abundant number, since it is smaller than the sum of its proper divisors (127571402262084).

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

61534266243516 is a wasteful number, since it uses less digits than its factorization.

61534266243516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87939837 (or 87939829 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 61534266243516 in words is "sixty-one trillion, five hundred thirty-four billion, two hundred sixty-six million, two hundred forty-three thousand, five hundred sixteen".