46223654400 has 1440 divisors, whose sum is σ = 214986739968. Its totient is φ = 9555148800.

The previous prime is 46223654387. The next prime is 46223654431. The reversal of 46223654400 is 445632264.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 239500704 + ... + 239500896.

Almost surely, 2^46223654400 is an apocalyptic number.

46223654400 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 46223654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107493369984).

46223654400 is an abundant number, since it is smaller than the sum of its proper divisors (168763085568).

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

46223654400 is a wasteful number, since it uses less digits than its factorization.

46223654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

It can be divided in two parts, 462236 and 54400, that added together give a triangular number (516636 = T₁₀₁₆).

The spelling of 46223654400 in words is "forty-six billion, two hundred twenty-three million, six hundred fifty-four thousand, four hundred".