61248114385920 has 7128 divisors, whose sum is σ = 309908287870272. Its totient is φ = 11532825722880.

The previous prime is 61248114385873. The next prime is 61248114385979. The reversal of 61248114385920 is 2958341184216.

61248114385920 is a `hidden beast` number, since 6 + 1 + 2 + 4 + 8 + 1 + 1 + 43 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 2662961495029 + ... + 2662961495051.

Almost surely, 2^{61248114385920} is an apocalyptic number.

61248114385920 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 61248114385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154954143935136).

61248114385920 is an abundant number, since it is smaller than the sum of its proper divisors (248660173484352).

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

61248114385920 is a wasteful number, since it uses less digits than its factorization.

61248114385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 61248114385920 in words is "sixty-one trillion, two hundred forty-eight billion, one hundred fourteen million, three hundred eighty-five thousand, nine hundred twenty".