46483947461952 has 3136 divisors, whose sum is σ = 194239382765568. Its totient is φ = 10642046976000.

The previous prime is 46483947461881. The next prime is 46483947461953. The reversal of 46483947461952 is 25916474938464.

46483947461952 is a `hidden beast` number, since 4 + 6 + 4 + 8 + 3 + 9 + 474 + 61 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46483947461953) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 140434886427 + ... + 140434886757.

It is an arithmetic number, because the mean of its divisors is an integer number (61938578688).

Almost surely, 2^{46483947461952} is an apocalyptic number.

46483947461952 is a gapful number since it is divisible by the number (42) 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 46483947461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97119691382784).

46483947461952 is an abundant number, since it is smaller than the sum of its proper divisors (147755435303616).

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

46483947461952 is a wasteful number, since it uses less digits than its factorization.

46483947461952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 495 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 46483947461952 in words is "forty-six trillion, four hundred eighty-three billion, nine hundred forty-seven million, four hundred sixty-one thousand, nine hundred fifty-two".