46134263552400 has 360 divisors, whose sum is σ = 160882073557920. Its totient is φ = 12242327285760.

The previous prime is 46134263552393. The next prime is 46134263552407. The reversal of 46134263552400 is 425536243164.

46134263552400 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 4 + 2 + 635 + 5 + 2 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46134263552393) and next prime (46134263552407).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46134263552407) 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, 1832967016 + ... + 1832992184.

It is an arithmetic number, because the mean of its divisors is an integer number (446894648772).

Almost surely, 2^{46134263552400} is an apocalyptic number.

46134263552400 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 46134263552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80441036778960).

46134263552400 is an abundant number, since it is smaller than the sum of its proper divisors (114747810005520).

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

46134263552400 is a wasteful number, since it uses less digits than its factorization.

46134263552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27663 (or 27649 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 46134263552400 its reverse (425536243164), we get a palindrome (46559799795564).

The spelling of 46134263552400 in words is "forty-six trillion, one hundred thirty-four billion, two hundred sixty-three million, five hundred fifty-two thousand, four hundred".