61290293148801 has 16 divisors (see below), whose sum is σ = 90800919057600. Its totient is φ = 40859977289184.

The previous prime is 61290293148793. The next prime is 61290293148823. The reversal of 61290293148801 is 10884139209216.

It is a happy number.

61290293148801 is a `hidden beast` number, since 6 + 129 + 0 + 2 + 9 + 31 + 488 + 0 + 1 = 666.

61290293148801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61290293148801 - 2³ = 61290293148793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61290293147801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826371 + ... + 11102408.

It is an arithmetic number, because the mean of its divisors is an integer number (5675057441100).

Almost surely, 2^{61290293148801} is an apocalyptic number.

It is an amenable number.

61290293148801 is a deficient number, since it is larger than the sum of its proper divisors (29510625908799).

61290293148801 is a wasteful number, since it uses less digits than its factorization.

61290293148801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12119085 (or 12119079 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 61290293148801 in words is "sixty-one trillion, two hundred ninety billion, two hundred ninety-three million, one hundred forty-eight thousand, eight hundred one".