46267394322240 has 5376 divisors, whose sum is σ = 234047822561280. Its totient is φ = 8410441973760.

The previous prime is 46267394322179. The next prime is 46267394322241. The reversal of 46267394322240 is 4222349376264.

46267394322240 is a `hidden beast` number, since 4 + 6 + 2 + 6 + 7 + 394 + 3 + 2 + 2 + 240 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46267394322241) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 70853589754 + ... + 70853590406.

It is an arithmetic number, because the mean of its divisors is an integer number (43535681280).

Almost surely, 2^{46267394322240} is an apocalyptic number.

46267394322240 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 46267394322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117023911280640).

46267394322240 is an abundant number, since it is smaller than the sum of its proper divisors (187780428239040).

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

46267394322240 is a wasteful number, since it uses less digits than its factorization.

46267394322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 46267394322240 in words is "forty-six trillion, two hundred sixty-seven billion, three hundred ninety-four million, three hundred twenty-two thousand, two hundred forty".