46484257397760 has 4224 divisors, whose sum is σ = 221174098790400. Its totient is φ = 9291474468864.

The previous prime is 46484257397713. The next prime is 46484257397801. The reversal of 46484257397760 is 6779375248464.

46484257397760 is a `hidden beast` number, since 4 + 6 + 4 + 8 + 42 + 573 + 9 + 7 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2446539863031 + ... + 2446539863049.

Almost surely, 2^{46484257397760} is an apocalyptic number.

46484257397760 is a gapful number since it is divisible by the number (40) 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 46484257397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110587049395200).

46484257397760 is an abundant number, since it is smaller than the sum of its proper divisors (174689841392640).

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

46484257397760 is an frugal number, since it uses more digits than its factorization.

46484257397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 72.

The spelling of 46484257397760 in words is "forty-six trillion, four hundred eighty-four billion, two hundred fifty-seven million, three hundred ninety-seven thousand, seven hundred sixty".