46738899900000 has 3888 divisors, whose sum is σ = 224085940238160. Its totient is φ = 9180864000000.

The previous prime is 46738899899999. The next prime is 46738899900067. The reversal of 46738899900000 is 999883764.

46738899900000 is a `hidden beast` number, since 467 + 3 + 8 + 89 + 9 + 90 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 101385899770 + ... + 101385900230.

It is an arithmetic number, because the mean of its divisors is an integer number (57635272695).

Almost surely, 2^{46738899900000} is an apocalyptic number.

46738899900000 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 46738899900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112042970119080).

46738899900000 is an abundant number, since it is smaller than the sum of its proper divisors (177347040338160).

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

46738899900000 is a wasteful number, since it uses less digits than its factorization.

46738899900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 46738899900000 in words is "forty-six trillion, seven hundred thirty-eight billion, eight hundred ninety-nine million, nine hundred thousand".