61434561065100 has 288 divisors, whose sum is σ = 184677299896320. Its totient is φ = 15755381591040.

The previous prime is 61434561065083. The next prime is 61434561065123. The reversal of 61434561065100 is 156016543416.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379128297 + ... + 379290303.

It is an arithmetic number, because the mean of its divisors is an integer number (641240624640).

Almost surely, 2^{61434561065100} is an apocalyptic number.

61434561065100 is a gapful number since it is divisible by the number (60) 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 61434561065100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92338649948160).

61434561065100 is an abundant number, since it is smaller than the sum of its proper divisors (123242738831220).

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

61434561065100 is a wasteful number, since it uses less digits than its factorization.

61434561065100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162457 (or 162450 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 61434561065100 in words is "sixty-one trillion, four hundred thirty-four billion, five hundred sixty-one million, sixty-five thousand, one hundred".