46548296865400 has 384 divisors, whose sum is σ = 124055799920640. Its totient is φ = 16089391872000.

The previous prime is 46548296865397. The next prime is 46548296865407. The reversal of 46548296865400 is 456869284564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46548296865407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 979260034 + ... + 979307566.

It is an arithmetic number, because the mean of its divisors is an integer number (323061978960).

Almost surely, 2^{46548296865400} is an apocalyptic number.

46548296865400 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 46548296865400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62027899960320).

46548296865400 is an abundant number, since it is smaller than the sum of its proper divisors (77507503055240).

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

46548296865400 is a wasteful number, since it uses less digits than its factorization.

46548296865400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47847 (or 47838 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 67.

The spelling of 46548296865400 in words is "forty-six trillion, five hundred forty-eight billion, two hundred ninety-six million, eight hundred sixty-five thousand, four hundred".