46019562121728 has 1440 divisors, whose sum is σ = 155568486408192. Its totient is φ = 13042778112000.

The previous prime is 46019562121723. The next prime is 46019562121733. The reversal of 46019562121728 is 82712126591064.

46019562121728 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 9 + 5 + 621 + 2 + 1 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (46019562121723) and next prime (46019562121733).

It is not an unprimeable number, because it can be changed into a prime (46019562121723) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 169813882233 + ... + 169813882503.

Almost surely, 2^{46019562121728} is an apocalyptic number.

46019562121728 is a gapful number since it is divisible by the number (48) 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 46019562121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77784243204096).

46019562121728 is an abundant number, since it is smaller than the sum of its proper divisors (109548924286464).

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

46019562121728 is a wasteful number, since it uses less digits than its factorization.

46019562121728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 46019562121728 in words is "forty-six trillion, nineteen billion, five hundred sixty-two million, one hundred twenty-one thousand, seven hundred twenty-eight".