46451477840256 has 192 divisors, whose sum is σ = 135486989317680. Its totient is φ = 15274271637504.

The previous prime is 46451477840233. The next prime is 46451477840309. The reversal of 46451477840256 is 65204877415464.

46451477840256 is a `hidden beast` number, since 4 + 6 + 4 + 514 + 7 + 78 + 40 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 46451477840193 and 46451477840202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33628380 + ... + 34982436.

Almost surely, 2^{46451477840256} 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 46451477840256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67743494658840).

46451477840256 is an abundant number, since it is smaller than the sum of its proper divisors (89035511477424).

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

46451477840256 is a wasteful number, since it uses less digits than its factorization.

46451477840256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354481 (or 1354466 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 46451477840256 in words is "forty-six trillion, four hundred fifty-one billion, four hundred seventy-seven million, eight hundred forty thousand, two hundred fifty-six".