46900272000 has 512 divisors, whose sum is σ = 164446064640. Its totient is φ = 11805696000.

The previous prime is 46900271987. The next prime is 46900272017. The reversal of 46900272000 is 27200964.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63983634 + ... + 63984366.

It is an arithmetic number, because the mean of its divisors is an integer number (321183720).

Almost surely, 2^46900272000 is an apocalyptic number.

46900272000 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 46900272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82223032320).

46900272000 is an abundant number, since it is smaller than the sum of its proper divisors (117545792640).

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

46900272000 is a wasteful number, since it uses less digits than its factorization.

46900272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 46900272000 its reverse (27200964), we get a palindrome (46927472964).

The spelling of 46900272000 in words is "forty-six billion, nine hundred million, two hundred seventy-two thousand".