61454164000446 has 144 divisors (see below), whose sum is σ = 164121412440960. Its totient is φ = 16524048794400.

The previous prime is 61454164000433. The next prime is 61454164000451. The reversal of 61454164000446 is 64400046145416.

61454164000446 is a `hidden beast` number, since 6 + 1 + 4 + 541 + 64 + 0 + 0 + 0 + 4 + 46 = 666.

It is a super-2 number, since 2×61454164000446² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9612436 + ... + 14673351.

It is an arithmetic number, because the mean of its divisors is an integer number (1139732030840).

Almost surely, 2^{61454164000446} is an apocalyptic number.

61454164000446 is an abundant number, since it is smaller than the sum of its proper divisors (102667248440514).

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

61454164000446 is a wasteful number, since it uses less digits than its factorization.

61454164000446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24285979 (or 24285969 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 61454164000446 in words is "sixty-one trillion, four hundred fifty-four billion, one hundred sixty-four million, four hundred forty-six", and thus it is an aban number.