46987776000 has 1040 divisors, whose sum is σ = 192957418368. Its totient is φ = 11280384000.

The previous prime is 46987775993. The next prime is 46987776001. The reversal of 46987776000 is 67778964.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46987776001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 456191949 + ... + 456192051.

Almost surely, 2^46987776000 is an apocalyptic number.

46987776000 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 46987776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96478709184).

46987776000 is an abundant number, since it is smaller than the sum of its proper divisors (145969642368).

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

46987776000 is a wasteful number, since it uses less digits than its factorization.

46987776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 46987776000 in words is "forty-six billion, nine hundred eighty-seven million, seven hundred seventy-six thousand".