46475352000 has 1344 divisors, whose sum is σ = 211847021568. Its totient is φ = 9446400000.

The previous prime is 46475351981. The next prime is 46475352023. The reversal of 46475352000 is 25357464.

46475352000 is a `hidden beast` number, since 4 + 64 + 75 + 3 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 460151950 + ... + 460152050.

It is an arithmetic number, because the mean of its divisors is an integer number (157624272).

Almost surely, 2^46475352000 is an apocalyptic number.

46475352000 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 46475352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105923510784).

46475352000 is an abundant number, since it is smaller than the sum of its proper divisors (165371669568).

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

46475352000 is a wasteful number, since it uses less digits than its factorization.

46475352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 46475352000 in words is "forty-six billion, four hundred seventy-five million, three hundred fifty-two thousand".