49974292141704 has 256 divisors, whose sum is σ = 162071073600000. Its totient is φ = 14262088260672.

The previous prime is 49974292141681. The next prime is 49974292141717. The reversal of 49974292141704 is 40714129247994.

The cubic root of 49974292141704 is 36834.

It is a perfect power (a cube), and thus also a powerful number.

49974292141704 is a `hidden beast` number, since 4 + 9 + 97 + 42 + 92 + 1 + 417 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56983228914 + ... + 56983229790.

It is an arithmetic number, because the mean of its divisors is an integer number (633090131250).

Almost surely, 2^{49974292141704} 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 49974292141704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81035536800000).

49974292141704 is an abundant number, since it is smaller than the sum of its proper divisors (112096781458296).

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

49974292141704 is an frugal number, since it uses more digits than its factorization.

49974292141704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 49974292141704 in words is "forty-nine trillion, nine hundred seventy-four billion, two hundred ninety-two million, one hundred forty-one thousand, seven hundred four".