61211416103064 has 192 divisors, whose sum is σ = 167994457488000. Its totient is φ = 20133364692480.

The previous prime is 61211416103053. The next prime is 61211416103081. The reversal of 61211416103064 is 46030161411216.

61211416103064 is a `hidden beast` number, since 6 + 1 + 2 + 1 + 1 + 4 + 1 + 610 + 30 + 6 + 4 = 666.

It is a super-2 number, since 2×61211416103064² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1732103107 + ... + 1732138445.

It is an arithmetic number, because the mean of its divisors is an integer number (874971132750).

Almost surely, 2^{61211416103064} 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 61211416103064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83997228744000).

61211416103064 is an abundant number, since it is smaller than the sum of its proper divisors (106783041384936).

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

61211416103064 is a wasteful number, since it uses less digits than its factorization.

61211416103064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36518 (or 36511 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 61211416103064 in words is "sixty-one trillion, two hundred eleven billion, four hundred sixteen million, one hundred three thousand, sixty-four".