46554697728 has 936 divisors, whose sum is σ = 178836396480. Its totient is φ = 11921817600.

The previous prime is 46554697723. The next prime is 46554697729. The reversal of 46554697728 is 82779645564.

46554697728 is a `hidden beast` number, since 4 + 6 + 554 + 6 + 9 + 7 + 72 + 8 = 666.

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

Its product of digits (101606400) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46554697723) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655699933 + ... + 655700003.

Almost surely, 2^46554697728 is an apocalyptic number.

46554697728 is a gapful number since it is divisible by the number (48) 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 46554697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89418198240).

46554697728 is an abundant number, since it is smaller than the sum of its proper divisors (132281698752).

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

46554697728 is a wasteful number, since it uses less digits than its factorization.

46554697728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 94 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 46554697728 in words is "forty-six billion, five hundred fifty-four million, six hundred ninety-seven thousand, seven hundred twenty-eight".