61451215416 has 48 divisors (see below), whose sum is σ = 169251240600. Its totient is φ = 20136555072.

The previous prime is 61451215363. The next prime is 61451215433.

61451215416 is a `hidden beast` number, since 61 + 4 + 51 + 2 + 1 + 541 + 6 = 666.

61451215416 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×61451215416³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7228711 + ... + 7237206.

Almost surely, 2^61451215416 is an apocalyptic number.

It is an amenable number.

61451215416 is an abundant number, since it is smaller than the sum of its proper divisors (107800025184).

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

61451215416 is a wasteful number, since it uses less digits than its factorization.

61451215416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14465988 (or 14465981 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 61451215416 in words is "sixty-one billion, four hundred fifty-one million, two hundred fifteen thousand, four hundred sixteen".