1581074673048 has 448 divisors, whose sum is σ = 5111651462400. Its totient is φ = 454537681920.

The previous prime is 1581074673041. The next prime is 1581074673097. The reversal of 1581074673048 is 8403764701851.

1581074673048 is a `hidden beast` number, since 1 + 5 + 8 + 107 + 467 + 30 + 48 = 666.

It is a super-2 number, since 2×1581074673048² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1581074672985 and 1581074673003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1581074673041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 68146986 + ... + 68170182.

It is an arithmetic number, because the mean of its divisors is an integer number (11409936300).

Almost surely, 2^{1581074673048} is an apocalyptic number.

1581074673048 is a gapful number since it is divisible by the number (18) 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 1581074673048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555825731200).

1581074673048 is an abundant number, since it is smaller than the sum of its proper divisors (3530576789352).

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

1581074673048 is a wasteful number, since it uses less digits than its factorization.

1581074673048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23294 (or 23275 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1581074673048 in words is "one trillion, five hundred eighty-one billion, seventy-four million, six hundred seventy-three thousand, forty-eight".